Solving Systems of Equations

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

Solve the following systems of equations using substitution: 2y + x = -15 x = 3y

Back

(-9, -3)

Front

What is the solution to this system of equations? 2x + 3y = 6 x - y = 5

Back

(4, -1)

Front

What is the value of the y-coordinate of the solution to the system of equations x - 2y = 1 x + 4y = 7?

Back

1

Front

Solve by matrices: 4x + 9y = 28 -4x - y = -28

Back

(7, 0)

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.